I've used a fresh install of version 1.0.1, added a DataType and didn't pick any of the optional Min & Max checkboxes.

When using that DataType as a property in a document, it is not possible to select any of the shown videos.

JavaScript console shows following error

TypeError: Cannot read property 'enableMin' of null
    at isMinValid (http://localhost:50956/App_Plugins/YouTube/js/YouTube.js:187:54)
    at Object.fn (http://localhost:50956/App_Plugins/YouTube/js/YouTube.js:148:9)
    at Object.e.$digest (http://localhost:50956/umbraco/lib/angular/1.1.5/angular.min.js:90:356)
    at Object.e.$apply (http://localhost:50956/umbraco/lib/angular/1.1.5/angular.min.js:92:431)
    at j (http://localhost:50956/umbraco/lib/angular/1.1.5/angular.min.js:101:80)
    at r (http://localhost:50956/umbraco/lib/angular/1.1.5/angular.min.js:104:449)
    at XMLHttpRequest.v.onreadystatechange (http://localhost:50956/umbraco/lib/angular/1.1.5/angular.min.js:106:90)

Checking if $scope.model.config.minmax is defined and/or setting some default values initially would prevent that.

kind regards.

 J.